Answer:
(3, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
3x + y = 10
y = x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 3x + (x - 2) = 10
- Combine like terms: 4x - 2 = 10
- Isolate <em>x </em>term: 4x = 12
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 2
- Substitute in <em>x</em>: y = 3 - 2
- Subtract: y = 1
And we have our answer!
Answer:
Step-by-step explanation:
We need to find the equation of parabola using given information
- Vertex: (0,0)
- Open to the left
- Focal width = 12
If parabola open left and passes through origin then equation is
Focal width = 12
Focal width passes through focus and focus is mid point of focal width.
Focus of above parabola would be (-a,0)
Passing point on parabola (-a,6) and (-a,-6)
Now we put passing point into equation and solve for a
a can't be negative.
Therefore, a=3
Focus: (-3,0)
Equation of parabola:
Please see the attachment of parabola.
Answer:
The correct options are:
- cubic decimeter and liter
- cubic centimeter and milliliter
Step-by-step explanation:
1) The 1 cubic decimeter is equal to the 1 liter.
2) The 1 cubic centimeter is equal to the 1 milliliter.
3) Since,1 cubic decimeter is equal to the 1 liter.
So,
4) Since, 1 quart = 0.946353 L
5) Since,The 1 cubic centimeter is equal to the 1 milliliter.
So, 1 millimeter ≠ 1 deciliter
6) Since,1 gram = 0.035274 ounces
So, 1 gram ≠ 1ounce
Answer:
22 boxes were lost. Look for the happy squirrels.
Step-by-step explanation:
Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:
($25)*(325) = $8125
The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)
But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:
Resulting Income: $8125 - ($100)x = $5925
$8125 - ($100)x = $5925
$8125 - ($100)x = $5925
-100x = -2200
x = 22 boxes were lost. Zounds! [A metric term for %$%^&]
===================
<u>Check:</u> Does the loss of 22 of the 325 boxes result in a total payment of $5925?
Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575
Penalty of $75 per lost box: 22*($75) = $1650
Result: $7575 - $1650 = $5925 <u>YES</u>
Answer:
h = 12 units, r = 10 units
Step-by-step explanation:
Hope this helps
